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We consider the problem of private information retrieval (PIR) of a single message out of $K$ messages from $N$ replicated and non-colluding databases where a cache-enabled user (retriever) of cache-size $M$ possesses side information in…

Information Theory · Computer Science 2017-11-28 Yi-Peng Wei , Karim Banawan , Sennur Ulukus

Private information retrieval has been reformulated in an information-theoretic perspective in recent years. The two most important parameters considered for a PIR scheme in a distributed storage system are the storage overhead and PIR…

Information Theory · Computer Science 2019-01-24 Yiwei Zhang , Eitan Yaakobi , Tuvi Etzion , Moshe Schwartz

We consider the classical setting of private information retrieval (PIR) of a single message (file) out of $M$ messages from $N$ distributed databases under the new constraint of \emph{asymmetric traffic} from databases. In this problem,…

Information Theory · Computer Science 2018-01-10 Karim Banawan , Sennur Ulukus

Multi-server single-message private information retrieval is studied in the presence of side information. In this problem, $K$ independent messages are replicatively stored at $N$ non-colluding servers. The user wants to privately download…

Information Theory · Computer Science 2024-09-10 Su Li , Michael Gastpar

This paper introduces the problem of Private Information Retrieval with Reusable and Single-use Side Information (PIR-RSSI). In this problem, one or more remote servers store identical copies of a set of $K$ messages, and there is a user…

Information Theory · Computer Science 2022-01-28 Anoosheh Heidarzadeh , Alex Sprintson

This paper investigates reducing sub-packetization of capacity-achieving schemes for uncoded Storage Constrained Private Information Retrieval (SC-PIR) systems. In the SC-PIR system, a user aims to retrieve one out of $K$ files from $N$…

Information Theory · Computer Science 2021-02-17 Jinbao Zhu , Qifa Yan , Xiaohu Tang , Ying Miao

A new framework for interference alignment in secure and private information retrieval (PIR) from colluding servers is proposed, generalizing the original cross-subspace alignment (CSA) codes proposed by Jia, Sun, and Jafar. The general…

Information Theory · Computer Science 2024-05-29 Okko Makkonen , David Karpuk , Camilla Hollanti

We study a class of private information retrieval (PIR) methods that we call one-shot schemes. The intuition behind one-shot schemes is the following. The user's query is regarded as a dot product of a query vector and the message vector…

Information Theory · Computer Science 2018-10-16 Rafael G. L. D'Oliveira , Salim El Rouayheb

A functional $k$-PIR code of dimension $s$ consists of $n$ servers storing linear combinations of $s$ linearly independent information symbols. Any linear combination of the $s$ information symbols can be recovered by $k$ disjoint subsets…

Information Theory · Computer Science 2019-04-16 Yiwei Zhang , Eitan yaakobi , Tuvi Etzion

Consider the problem of Private Information Retrieval (PIR), where a user wishes to retrieve a single message from $N$ non-communicating and non-colluding databases (servers). All servers store the same set of $M$ messages and they respond…

Information Theory · Computer Science 2020-05-20 Ori Shmuel , Asaf Cohen

The capacity of private information retrieval (PIR) from databases coded using maximum distance separable (MDS) codes has been previously characterized by Banawan and Ulukus, where it was assumed that the messages are encoded and stored…

Information Theory · Computer Science 2019-08-21 Hua Sun , Chao Tian

Private information retrieval from a single server is considered, utilizing random linear codes. Presented is a modified version of the first code-based single-server computational PIR scheme proposed by Holzbaur, Hollanti, and Wachter-Zeh…

Information Theory · Computer Science 2025-05-07 Neehar Verma , Camilla Hollanti

In this work, we investigate the capacity of private information retrieval (PIR) from $N$ replicated databases, where a subset of the databases are untrustworthy (byzantine) in their answers to the query of the user. We allow for…

Information Theory · Computer Science 2019-01-23 Xinyu Yao , Nan Liu , Wei Kang

In quantum private information retrieval (QPIR), a user retrieves a classical file from multiple servers by downloading quantum systems without revealing the identity of the file. The QPIR capacity is the maximal achievable ratio of the…

Information Theory · Computer Science 2021-11-09 Matteo Allaix , Seunghoan Song , Lukas Holzbaur , Tefjol Pllaha , Masahito Hayashi , Camilla Hollanti

Private information retrieval (PIR) is a protocol that guarantees the privacy of a user who is in communication with databases. The user wants to download one of the messages stored in the databases while hiding the identity of the desired…

Information Theory · Computer Science 2021-05-19 Jun-Woo Tak , Sang-Hyo Kim , Yongjune Kim , Jong-Seon No

Private information retrieval systems (PIRs) allow a user to extract an item from a database that is replicated over k>=1 servers, while satisfying various privacy constraints. We exhibit quantum k-server symmetrically-private information…

Quantum Physics · Physics 2007-05-23 Iordanis Kerenidis , Ronald de Wolf

We study Private Information Retrieval with Side Information (PIR-SI) in the single-server multi-message setting. In this setting, a user wants to download $D$ messages from a database of $K\geq D$ messages, stored on a single server,…

Information Theory · Computer Science 2018-07-27 Anoosheh Heidarzadeh , Brenden Garcia , Swanand Kadhe , Salim El Rouayheb , Alex Sprintson

We study the symmetric private information retrieval (SPIR) problem under arbitrary collusion and eavesdropping patterns for replicated databases. We find its capacity, which is the same as the capacity of the original SPIR problem with the…

Information Theory · Computer Science 2020-10-19 Jiale Cheng , Nan Liu , Wei Kang

We consider the fundamental tradeoff between the storage cost and the download cost in private information retrieval systems, without any explicit structural restrictions on the storage codes, such as maximum distance separable codes or…

Information Theory · Computer Science 2019-10-29 Chao Tian

We consider the storage problem in an asymmetric $X$-secure private information retrieval (A-XPIR) setting. The A-XPIR setting considers the $X$-secure PIR problem (XPIR) when a given arbitrary set of servers is communicating. We focus on…

Information Theory · Computer Science 2026-01-21 Mohamed Nomeir , Sennur Ulukus